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Finding the Fourth Proportional to 9,308.54, 12,845.46 and 5,116.76

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Solution

The fourth proportional to 9,308.54, 12,845.46 and 5,116.76 is: 7,060.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.54 : 12,845.46 = 5,116.76 : x
  2. Step 2: Convert to fraction form
    9,308.54/12,845.46 = 5,116.76/x
  3. Step 3: Cross multiply
    9,308.54x = 12,845.46 × 5,116.76
  4. Step 4: Simplify right side
    9,308.54x = 65,727,135.91
  5. Step 5: Solve for x
    x = 65,727,135.91/9,308.54
  6. Step 6: Final answer
    x = 7,060.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.